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Finding the Fourth Proportional to 213,801.65, 294,804.83 and 159,913.97

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Solution

The fourth proportional to 213,801.65, 294,804.83 and 159,913.97 is: 220,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,801.65 : 294,804.83 = 159,913.97 : x
  2. Step 2: Convert to fraction form
    213,801.65/294,804.83 = 159,913.97/x
  3. Step 3: Cross multiply
    213,801.65x = 294,804.83 × 159,913.97
  4. Step 4: Simplify right side
    213,801.65x = 47,143,410,740.48
  5. Step 5: Solve for x
    x = 47,143,410,740.48/213,801.65
  6. Step 6: Final answer
    x = 220,500.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.